Poincare invariance in effective string theories

Details Poincare invariance in effective string theories Poincare invariance in effective string theories

2006-02-27

arxiv.org/abs/hep-th/0602281v2

JHEP0605:066,2006

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 1 figure; two paragraphs and a few references added

Scientific paper

10.1088/1126-6708/2006/05/066

We investigate the dispersion relation of the winding closed-string states in SU(N) gauge theory defined on a d-dimensional hypertorus, in a class of effective string theories. We show that order by order in the asymptotic expansion, each energy eigenstate satisfies a relativistic dispersion relation. This is illustrated in the Luscher-Weisz effective string theory to two-loop order, where the Polyakov loop matrix elements between the vacuum and the closed string states are obtained explicitly. We attempt a generalization of these considerations to the case of compact dimensions transverse to the string.

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